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Finding the Fourth Proportional to 16.27, 24.38 and 9.13

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Solution

The fourth proportional to 16.27, 24.38 and 9.13 is: 13.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.27 : 24.38 = 9.13 : x
  2. Step 2: Convert to fraction form
    16.27/24.38 = 9.13/x
  3. Step 3: Cross multiply
    16.27x = 24.38 × 9.13
  4. Step 4: Simplify right side
    16.27x = 222.47
  5. Step 5: Solve for x
    x = 222.47/16.27
  6. Step 6: Final answer
    x = 13.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.